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This paper studies Distributionally Robust Optimization (DRO), a fundamental framework for enhancing the robustness and generalization of statistical learning and optimization. An effective ambiguity set for DRO must involve distributions…

Machine Learning · Computer Science 2026-02-10 Jiaqi Wen , Jianyi Yang

Robust and distributionally robust optimization are modeling paradigms for decision-making under uncertainty where the uncertain parameters are only known to reside in an uncertainty set or are governed by any probability distribution from…

Optimization and Control · Mathematics 2023-07-21 Jianzhe Zhen , Daniel Kuhn , Wolfram Wiesemann

Distributional robustness is a promising framework for training deep learning models that are less vulnerable to adversarial examples and data distribution shifts. Previous works have mainly focused on exploiting distributional robustness…

Machine Learning · Computer Science 2023-11-02 Van-Anh Nguyen , Trung Le , Anh Tuan Bui , Thanh-Toan Do , Dinh Phung

As a variant of the Area Under the ROC Curve (AUC), the partial AUC (PAUC) focuses on a specific range of false positive rate (FPR) and/or true positive rate (TPR) in the ROC curve. It is a pivotal evaluation metric in real-world scenarios…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Yangbangyan Jiang , Qianqian Xu , Huiyang Shao , Zhiyong Yang , Shilong Bao , Xiaochun Cao , Qingming Huang

There is a growing interest in using robust control theory to analyze and design optimization and machine learning algorithms. This paper studies a class of nonconvex optimization problems whose cost functions satisfy the so-called…

Optimization and Control · Mathematics 2019-12-11 Huaqing Xiong , Yuejie Chi , Bin Hu , Wei Zhang

We consider the problem of distributionally robust multimodal machine learning. Existing approaches often rely on merging modalities on the feature level (early fusion) or heuristic uncertainty modeling, which downplays modality-aware…

Machine Learning · Computer Science 2025-11-11 Peilin Yang , Yu Ma

Learning to optimize the area under the receiver operating characteristics curve (AUC) performance for imbalanced data has attracted much attention in recent years. Although there have been several methods of AUC optimization, scaling up…

Machine Learning · Computer Science 2024-10-28 Chao Wang , Kai Wu , Jing Liu

Distributionally robust optimization (DRO) problems are increasingly seen as a viable method to train machine learning models for improved model generalization. These min-max formulations, however, are more difficult to solve. We therefore…

Machine Learning · Statistics 2020-11-03 Soumyadip Ghosh , Mark Squillante , Ebisa Wollega

Binary decisions are very common in artificial intelligence. Applying a threshold on the continuous score gives the human decider the power to control the operating point to separate the two classes. The classifier,s discriminating power is…

Artificial Intelligence · Computer Science 2016-06-03 Paulo J. L. Adeodato , Sílvio B. Melo

This article explores distributed convex optimization with globally-coupled constraints, where the objective function is a general nonsmooth convex function, the constraints include nonlinear inequalities and affine equalities, and the…

Optimization and Control · Mathematics 2025-03-14 Zixuan Liu , Xuyang Wu , Dandan Wang , Jie Lu

Scoring functions are used to evaluate and compare partially probabilistic forecasts. We investigate the use of rank-sum functions such as empirical Area Under the Curve (AUC), a widely-used measure of classification performance, as a…

Statistics Theory · Mathematics 2017-01-31 Simon Byrne

The area under the curve (AUC) of the mean cumulative function (MCF) has recently been introduced as a novel estimand for evaluating treatment effects in recurrent event settings, offering an alternative to the commonly used…

Methodology · Statistics 2025-07-22 Jiren Sun , Tuo Wang , Yanyao Yi , Ting Ye , Jun Shao , Yu Du

AUC is a common metric for evaluating the performance of a classifier. However, most classifiers are trained with cross entropy, and it does not optimize the AUC metric directly, which leaves a gap between the training and evaluation stage.…

Machine Learning · Computer Science 2023-04-20 Xiao Sun , Bo Zhang , Chenrui Zhang , Han Ren , Mingchen Cai

The ROC curve is the gold standard for measuring the performance of a test/scoring statistic regarding its capacity to discriminate between two statistical populations in a wide variety of applications, ranging from anomaly detection in…

Statistics Theory · Mathematics 2023-01-25 Stéphan Clémençon , Myrto Limnios , Nicolas Vayatis

Distributionally robust optimization (DRO) can improve the robustness and fairness of learning methods. In this paper, we devise stochastic algorithms for a class of DRO problems including group DRO, subpopulation fairness, and empirical…

Machine Learning · Computer Science 2025-02-03 Tasuku Soma , Khashayar Gatmiry , Sharut Gupta , Stefanie Jegelka

The most popular classification algorithms are designed to maximize classification accuracy during training. However, this strategy may fail in the presence of class imbalance since it is possible to train models with high accuracy by…

Machine Learning · Computer Science 2024-01-26 Erhan Can Ozcan , Berk Görgülü , Mustafa G. Baydogan , Ioannis Ch. Paschalidis

Optimal performance is critical for decision-making tasks from medicine to autonomous driving, however common performance measures may be too general or too specific. For binary classifiers, diagnostic tests or prognosis at a timepoint,…

Distributionally Robust Optimal Control (DROC) is a framework that enables robust control in a stochastic setting where the true disturbance distribution is unknown. Traditional DROC approaches require given ambiguity sets and KL divergence…

Robotics · Computer Science 2025-10-03 Rui Liu , Guangyao Shi , Pratap Tokekar

Distributionally robust optimization (DRO) provides a framework for training machine learning models that are able to perform well on a collection of related data distributions (the "uncertainty set"). This is done by solving a min-max…

Machine Learning · Computer Science 2021-04-01 Paul Michel , Tatsunori Hashimoto , Graham Neubig

We propose a method for maximizing a partial area under a receiver operating characteristic (ROC) curve (pAUC) for binary classification tasks. In binary classification tasks, accuracy is the most commonly used as a measure of classifier…

Machine Learning · Statistics 2018-06-14 Naonori Ueda , Akinori Fujino
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